MV-modules
type: Item
instance of: scholarly article
title: MV-modules
zbMATH Open document ID: 1025.06009
DOI: 10.1016/S0021-8693(03)00332-6
author: Antonio Di Nola
author: Paul Flondor
author: Ioana Leuştean
published in: Journal of Algebra
publication date: 2003-08-20T00:00:00Z
review text: Let \((R, v)\) be a unital \(\ell\)-ring; by applying the well-known functor \(\Gamma\) the product MV-algebra \(\Gamma(R,v)\) can be constructed. The main result of the paper consists in proving that there exists an equivalence between the category of \(\ell\)u-modules over \((R,v)\) and the category of MV-modules over \(\Gamma(R,v)\). Further, the concept of truncated module is introduced and the natural equivalence between MV-modules and truncated modules is studied.
reviewed by: Ján Jakubík
Mathematics Subject Classification ID: 06D35
Mathematics Subject Classification ID: 06F25
zbMATH DE Number: 1967918
zbMATH Keywords: MV-algebra
zbMATH Keywords: PMV-algebra
zbMATH Keywords: \(\ell\)u-module
zbMATH Keywords: MV-module
zbMATH Keywords: truncated module
zbMATH Keywords: equivalence of categories
MaRDI profile type: Publication
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full work available at URL: s0021-8693(03)00332-6
OpenAlex ID: W4213261704
description: scientific article; zbMATH DE number 1967918